The accepted equations for force and elastic potential energy for a spring include a term called the spring constant, k (in N/m). How could you find the spring constant from a force vs displacement graph? Explain.

Explanation:

Accordibg to Hooke's law ,

F=-kx

the minus sign indicates that the force exerted by the spring is opposite to that of extension and the relation between force and extension is a linear one so in the graph it wll pass through the origin and x=0 F=0 and the k (spring constant) will be a constant

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

                                              ⇒      

here   k is the proportionality constant whose value is 1.

                                                            [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.

answer a fan shaped mass of sediment deposited at the base of a mountain front do to an abrupt change in stream gradient;